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Unstoppable brane-flux decay of \(\overline{\mathrm{D}6} \) branes. (English) Zbl 1377.81137

Summary: We investigate \(p\) \(\overline{\mathrm{D}6} \) branes inside a flux throat that carries \(K \times M\) D6 charges with \(K\) the 3-form flux quantum and \(M\) the Romans mass. In such a setup brane-flux annihilation can proceed through the nucleation of KK5 branes. We find that within the calculable supergravity regime where \(g_{s} p\) is large, the \( \overline{\mathrm{D}6} \) branes annihilate immediately against the fluxes despite the existence of a metastable state at small \( p/M\) in the probe approximation. The crucial property that causes this naive conflict with effective field theory is a singularity in the 3-form flux, which we cut off at string scale. Our result explains the absence of regular solutions at finite temperature and suggests there should be a smooth time-dependent solution. We also discuss the qualitative differences between \( \overline{\mathrm{D}6} \) branes and \(\overline{\mathrm{D}3} \) branes, which makes it a priori not obvious to conclude the same instability for \(\overline{\mathrm{D}3} \) branes.

MSC:

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
83C75 Space-time singularities, cosmic censorship, etc.
81R40 Symmetry breaking in quantum theory
81T60 Supersymmetric field theories in quantum mechanics
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